2474020224 has 288 divisors, whose sum is σ = 8024103360. Its totient is φ = 726589440.

The previous prime is 2474020201. The next prime is 2474020253. The reversal of 2474020224 is 4220204742.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2474020224² = 12241552137522020352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33890652 + ... + 33890724.

It is an arithmetic number, because the mean of its divisors is an integer number (27861470).

Almost surely, 2^2474020224 is an apocalyptic number.

2474020224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2474020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012051680).

2474020224 is an abundant number, since it is smaller than the sum of its proper divisors (5550083136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2474020224 is a wasteful number, since it uses less digits than its factorization.

2474020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2474020224 is about 49739.5237612907. The cubic root of 2474020224 is about 1352.4910975756.

Adding to 2474020224 its reverse (4220204742), we get a palindrome (6694224966).

The spelling of 2474020224 in words is "two billion, four hundred seventy-four million, twenty thousand, two hundred twenty-four".